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A contour for the entanglement entropies in harmonic lattices

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arxiv 1701.08427 v2 pith:NGPDNCOA submitted 2017-01-29 cond-mat.stat-mech hep-thquant-ph

classification cond-mat.stat-mechhep-thquant-ph
keywords contourentanglementfunctionharmonicnumericalanalysisentropieslattices
verification ladder T0 review T1 audit T2 compute T3 formal
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We construct a contour function for the entanglement entropies in generic harmonic lattices. In one spatial dimension, numerical analysis are performed by considering harmonic chains with either periodic or Dirichlet boundary conditions. In the massless regime and for some configurations where the subsystem is a single interval, the numerical results for the contour function are compared to the inverse of the local weight function which multiplies the energy-momentum tensor in the corresponding entanglement hamiltonian, found through conformal field theory methods, and a good agreement is observed. A numerical analysis of the contour function for the entanglement entropy is performed also in a massless harmonic chain for a subsystem made by two disjoint intervals.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 47 citations worldwide. Full citation record

  1. Geometric modular flows in 2d CFT and beyond

    hep-th 2025-02 conditional novelty 7.0 of 10

    In 2d CFTs, every suitably regular Unruh flow on the Rindler wedge is the modular flow of a state obtained by a conformal unitary acting on the vacuum or thermal state, and local entropy and stress-tensor formulas follow.

  2. Correlation functions of harmonic lattices in d-dimensional space

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    In the thermodynamic limit, correlation functions of d-dimensional harmonic lattices are expressed via Lauricella C-type hypergeometric series, and near-center correlators coincide for Dirichlet and periodic boundaries.

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